Theresa May's deal has now been rejected twice, while Labour's plan for joining a customs union has never secured a majority.

Most MPs did not want to leave the EU, but apart from a minority insisting another referendum is needed to break the stalemate, they are reconciled to leaving.

The question is how?

Image copyrightAFP

And it is extraordinary that with the two-year Article 50 process about to expire, they are still kicking around alternative plans for the UK's future relationship the EU.

In a farce that could be called Four Brexits and a Divorce, various cross-party groups of backbench MPs have spent months working on their own ideas for how the UK might leave the EU.

For instance, in the so-called Malthouse Compromise, a group of Tory MPs has put forward a proposal that would involve the UK buying a two-year transition period from the EU, but without a formal withdrawal agreement.

One of its supporters, former cabinet minster Damian Green, told me the UK and EU would use the time to negotiate a trade deal and the controversial Irish backstop would not be needed.

The EU's current refusal to countenance such a plan has not deflated its supporters.

Other Conservatives have joined forces with several Labour MPs to advocate UK membership of the single market and a new customs arrangement - a plan dubbed "Common Market 2.02 or "Norway plus".

Labour leader Jeremy Corbyn has recently shown an interest in this idea too.

Image copyrightUKParliament/Jessica Taylor

Former Conservative chancellor Ken Clarke believes a Brexit that keeps the UK closer to the EU economically is the option most likely to find a majority in the Commons.

"I've never seen such chaos in my whole life," the veteran MP says wearily.

Mr Clarke thinks the sensible thing would be for Parliament to simply to revoke Article 50, the mechanism taking the UK out of the EU, but says there's no chance Parliament will do that.

Former Conservative and now Independent Group MP Anna Soubry insists another referendum "is the only way out of this mess" - but there does not appear to be a majority in the Commons for that step yet.

Meanwhile, at the other end of Parliamentary opinion, Brexit-backing Conservative MP Nigel Evans has no fear about the UK leaving the EU without any withdrawal agreement.

"It's not the ideal outcome and I would prefer a deal, but we are where we are," says Mr Evans.

The basic choice facing MPs has always been the same: If they don't want the UK to leave without a deal in a fortnight, they must either pass a withdrawal agreement, revoke Article 50 or ask the EU for an extension.

But it's pretty clear the EU will want clarity about what an extension is for.

With time almost up and a UK request to extend Brexit looking likely, there is now an urgent need for MPs to prove what they can support.

A series of Parliamentary votes sifting and sorting these ideas seems inevitable.

But if an alternative Brexit plan does not emerge in the next few days, MPs could again face a choice between the government's deal or no deal at all.